LCM of 327, 138, 782, 355
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 327, 138, 782, 355 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 327, 138, 782, 355. So, keep reading to learn more.
Given numbers are 327,138,782,355
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 327,138,782,355 is 90778470.
Find LCM of 327,138,782,355 with Prime Factorization
| 2 | 327, 138, 782, 355 |
| 3 | 327, 69, 391, 355 |
| 23 | 109, 23, 391, 355 |
| 109, 1, 17, 355 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 23 x 109 x 1 x 17 x 355 = 90778470
Therefore, the lowest common multiple of 327,138,782,355 is 90778470.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
327 x 138 x 782 x 355 = 12527428860
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
327 : 1, 3, 109, 327
138 : 1, 2, 3, 6, 23, 46, 69, 138
782 : 1, 2, 17, 23, 34, 46, 391, 782
355 : 1, 5, 71, 355
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 327,138,782,355, is 1.
Now, the common factors can be found like this.
327:3x 109
138:2x 3x 23
782:2x 17x 23
355:5x 71
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 23 = 138
Therefore, the value for common factors is 138.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 12527428860/(1x138)
LCM = 12527428860/138
LCM = 90778470
Thus, we can understand that the LCM of 327,138,782,355 is 90778470.
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FAQs on LCM of 327, 138, 782, 355
1. What is the LCM of 327, 138, 782, 355?
Answer: LCM of 327, 138, 782, 355 is 90778470.
2. How to calculate the LCM of 327, 138, 782, 355?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 327, 138, 782, 355.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.